IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v227y2025icp209-225.html
   My bibliography  Save this article

Non-fragile control of discrete-time conic-type nonlinear Markovian jump systems under deception attacks using event-triggered scheme and Its application

Author

Listed:
  • Tajudeen, M. Mubeen
  • Ali, M. Syed
  • Thakur, Ganesh Kumar
  • Priya, Bandana
  • Perumal, R.

Abstract

The non-fragile control issue of discrete-time conic-type nonlinear Markov jump systems under deception attacks has been investigated using an event-triggered method. The nonlinear terms satisfy the conic-type nonlinear constraint condition that lies in a known hypersphere with an uncertain center is employed. The deception attack may obstruct normal communication in an effort to obtain confidential information. In addition, a non-fragile event-triggered controller is suggested to further conserve communication resources. As a stochastic process, a deception attack is manageable by the established controller. Also, by choosing an appropriate Lyapunov-Krasovskii functional, a set of necessary conditions is found in terms of linear matrix inequalities (LMIs) that guarantee mean square stability of the discrete-time conic-type nonlinear Markov jump system in the presence of deception attacks. Finally, the proposed non-fragile event-triggered control techniques is validated with a DC-DC motor application system and another numerical example.

Suggested Citation

  • Tajudeen, M. Mubeen & Ali, M. Syed & Thakur, Ganesh Kumar & Priya, Bandana & Perumal, R., 2025. "Non-fragile control of discrete-time conic-type nonlinear Markovian jump systems under deception attacks using event-triggered scheme and Its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 227(C), pages 209-225.
    • Handle: RePEc:eee:matcom:v:227:y:2025:i:c:p:209-225
    DOI: 10.1016/j.matcom.2024.08.007
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475424003100
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2024.08.007?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Liu, Yanhong & Zhi, Huimin & Wei, Jumei & Zhu, Xunlin & Zhu, Quanxin, 2020. "Event-triggered control for linear continuous switched singular systems," Applied Mathematics and Computation, Elsevier, vol. 374(C).
    2. Sanjay, K. & Vijay Aravind, R. & Balasubramaniam, P., 2023. "Extended dissipative filter design for discrete-time interconnected fuzzy systems with time-varying delays subject to cyber attacks," Applied Mathematics and Computation, Elsevier, vol. 453(C).
    3. Xia, ZeLiang & He, Shuping, 2022. "Finite-time asynchronous H∞ fault-tolerant control for nonlinear hidden markov jump systems with actuator and sensor faults," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    4. Yang, Te & Wang, Zhen & Xia, Jianwei & Shen, Hao, 2023. "Sampled-data exponential synchronization of stochastic chaotic Lur’e delayed systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 44-57.
    5. Divya, H. & Sakthivel, R. & Karthick, S.A. & Aouiti, C., 2022. "Non-fragile control design for stochastic Markov jump system with multiple delays and cyber attacks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 192(C), pages 291-302.
    6. Song, Xingxing & Lu, Hongqian & Xu, Yao & Zhou, Wuneng, 2022. "H∞ synchronization of semi-Markovian jump neural networks with random sensor nonlinearities via adaptive event-triggered output feedback control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 1-19.
    7. Wang, Jiancheng & He, Shuping & Luan, Xiaoli & Liu, Fei, 2020. "Fuzzy fault detection of conic-type nonlinear systems within the finite frequency domain," Applied Mathematics and Computation, Elsevier, vol. 378(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nguyen, Khanh Hieu & Kim, Sung Hyun, 2024. "Improved stability and stabilization criteria of sampled-data control systems based on an enhanced looped-functional," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 69-81.
    2. Li, Qiang & Liang, Jinling & Gong, Weiqiang & Wang, Kai & Wang, Jinling, 2024. "Nonfragile state estimation for semi-Markovian switching CVNs with general uncertain transition rates: An event-triggered scheme," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 218(C), pages 204-222.
    3. Wei Wang & Jinming Liang & Mihan Liu & Liming Ding & Hongbing Zeng, 2024. "Novel Robust Stability Criteria for Lur’e Systems with Time-Varying Delay," Mathematics, MDPI, vol. 12(4), pages 1-12, February.
    4. Shao, Xingling & Yue, Xiaohui & Li, Jie, 2021. "Event-triggered robust control for quadrotors with preassigned time performance constraints," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    5. Zhao, Rui & Wang, Baoxian & Jian, Jigui, 2022. "Global μ-stabilization of quaternion-valued inertial BAM neural networks with time-varying delays via time-delayed impulsive control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 223-245.
    6. Saravanan Shanmugam & Rajarathinam Vadivel & Nallappan Gunasekaran, 2023. "Finite-Time Synchronization of Quantized Markovian-Jump Time-Varying Delayed Neural Networks via an Event-Triggered Control Scheme under Actuator Saturation," Mathematics, MDPI, vol. 11(10), pages 1-24, May.
    7. Qi, Yiwen & Zhao, Xiujuan & Huang, Jie, 2021. "H∞ filtering for switched systems subject to stochastic cyber attacks: A double adaptive storage event-triggering communication," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    8. Yang, Anqing & Ma, Shuping, 2023. "Event-triggered control for switched singular systems with asynchronous switching and state jumps," Applied Mathematics and Computation, Elsevier, vol. 437(C).
    9. Priyanka, K. Sri Raja & Soundararajan, G. & Kashkynbayev, Ardak & Nagamani, G., 2023. "Exponential H∞ synchronization and anti-synchronization of delayed discrete-time complex-valued neural networks with uncertainties," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 207(C), pages 301-321.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:227:y:2025:i:c:p:209-225. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.